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Simplifying 9y3(y3 + -6y) + 8y6 = 0 Reorder the terms: 9y3(-6y + y3) + 8y6 = 0 (-6y * 9y3 + y3 * 9y3) + 8y6 = 0 (-54y4 + 9y6) + 8y6 = 0 Combine like terms: 9y6 + 8y6 = 17y6 -54y4 + 17y6 = 0 Solving -54y4 + 17y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y4'. y4(-54 + 17y2) = 0Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-54 + 17y2)' equal to zero and attempt to solve: Simplifying -54 + 17y2 = 0 Solving -54 + 17y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 17y2 = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 17y2 = 0 + 54 17y2 = 0 + 54 Combine like terms: 0 + 54 = 54 17y2 = 54 Divide each side by '17'. y2 = 3.176470588 Simplifying y2 = 3.176470588 Take the square root of each side: y = {-1.782265577, 1.782265577}Solution
y = {-1.782265577, 1.782265577}
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